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Finding the Fourth Proportional to 202,413.44, 279,332.84 and 111,769.28

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Solution

The fourth proportional to 202,413.44, 279,332.84 and 111,769.28 is: 154,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.44 : 279,332.84 = 111,769.28 : x
  2. Step 2: Convert to fraction form
    202,413.44/279,332.84 = 111,769.28/x
  3. Step 3: Cross multiply
    202,413.44x = 279,332.84 × 111,769.28
  4. Step 4: Simplify right side
    202,413.44x = 31,220,830,407.16
  5. Step 5: Solve for x
    x = 31,220,830,407.16/202,413.44
  6. Step 6: Final answer
    x = 154,242.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.